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1008104256 = 26321750181
BaseRepresentation
bin111100000101100…
…111001101000000
32121020221000001200
4330011213031000
54031033314011
6244011101200
733660513315
oct7405471500
92536830050
101008104256
11478059715
12241741800
13130b16bc3
1497c5ad0c
155d782856
hex3c167340

1008104256 has 42 divisors (see below), whose sum is σ = 2889550482. Its totient is φ = 336034560.

The previous prime is 1008104243. The next prime is 1008104263. The reversal of 1008104256 is 6524018001.

It can be written as a sum of positive squares in only one way, i.e., 783104256 + 225000000 = 27984^2 + 15000^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 874515 + ... + 875666.

It is an arithmetic number, because the mean of its divisors is an integer number (68798821).

Almost surely, 21008104256 is an apocalyptic number.

1008104256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1008104256 is an abundant number, since it is smaller than the sum of its proper divisors (1881446226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1008104256 is a wasteful number, since it uses less digits than its factorization.

1008104256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750199 (or 1750186 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1008104256 is about 31750.6575679938. The cubic root of 1008104256 is about 1002.6941536841.

The spelling of 1008104256 in words is "one billion, eight million, one hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1750181 3500362 5250543 7000724 10501086 14001448 15751629 21002172 28002896 31503258 42004344 56005792 63006516 84008688 112011584 126013032 168017376 252026064 336034752 504052128 1008104256